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Finding the Fourth Proportional to 1,669.07, 2,505.11 and 889.72

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Solution

The fourth proportional to 1,669.07, 2,505.11 and 889.72 is: 1,335.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.07 : 2,505.11 = 889.72 : x
  2. Step 2: Convert to fraction form
    1,669.07/2,505.11 = 889.72/x
  3. Step 3: Cross multiply
    1,669.07x = 2,505.11 × 889.72
  4. Step 4: Simplify right side
    1,669.07x = 2,228,846.47
  5. Step 5: Solve for x
    x = 2,228,846.47/1,669.07
  6. Step 6: Final answer
    x = 1,335.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.